Use point-slope form to write a linear equation to represent the growth of Claire over time. Then, simplify the equation and write it in slope-intercept form. Identify the y-intercept. Show your work.

Complete Question:

The growth of baby girl Claire is displayed in the graph below. (4, 22) (14, 30)

Point Slope:

Slope Intercept:

y intercept:

Step-by-step explanation:

Given

Solving (a) Point slope

Using point slope form, an equation is of the form

First, we need to solve for slope (m):

Make m the subject

Substitute values for x and y

Next, we form a linear relationship

Where

and

Solving (b): Slope Intercept

Open Bracket

Add 22 to both sides

Solving (c): The y intercept

The general form of an equation is:

Where b represents the y intercept

By comparison with

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: